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Atlas › Integer Profiles › Node 4,941,920

4,941,920

25 × 5 × 67 × 461
Abundant Even Composite

4,941,920 factors as 2^5 × 5 × 67 × 461. Its 48 positive divisors give a proper-divisor sum of 6,933,328, so this integer is abundant. The Collatz stopping time is 237 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 67 × 461
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,875,248
Proper Divisor Sum 6,933,328
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4941913 ← → #4941929

Radix Representation

Decimal 4941920
Binary 10010110110100001100000 (23 bits)
Octal 0o22664140
Hexadecimal 0x4B6860

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 67 80 134 160 268 335 461 536 670 922 1,072 1,340 1,844 2,144 2,305 2,680 3,688 4,610 5,360 7,376 9,220 10,720 14,752 18,440 30,887 36,880 61,774 73,760 123,548 154,435 247,096 308,870 494,192 617,740 988,384 1,235,480 2,470,960 4,941,920

Collatz Trajectory (237 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

4,941,920 2,470,960 1,235,480 617,740 308,870 154,435 463,306 231,653 694,960 347,480 173,740 86,870 43,435 130,306 65,153 195,460 97,730 48,865 146,596 73,298 36,649 109,948 54,974 27,487 82,462 41,231 123,694 61,847 185,542 92,771 278,314 139,157 417,472 208,736 104,368 52,184 26,092 13,046 6,523 19,570 9,785 29,356 14,678 7,339 22,018 11,009 33,028 16,514 8,257 24,772 12,386 6,193 18,580 9,290 4,645 13,936 6,968 3,484 1,742 871

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